Dirichlet型空间上Hankel算子和乘法算子  

HANKEL AND MULTIPLICATION OPERATORS ON DIRICHLET TYPE SPACES ON THEUNIT BALL OF C^n

作　　者：胡鹏彦[1] 张文俊[1] 

机构地区：[1]深圳大学师范学院数学系,广东深圳518060

出　　处：《数学年刊（A辑）》2003年第5期603-614,共12页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10101013)

摘　　要：本文讨论了Dirichlet型空间上的再生核,并对Dirichlet型空间上乘法算子,Hankel算子和小Hankel算子的基本性质进行了研究,同时也给出了这些算子的有界性,紧性和Schatten理想的初步刻画。In this paper, the properties of the reproducing kernel for the Dirichlet type spaces on the unit ball of Cn are discussed by means of analytical technique. The preliminary properties of Hankel, small Hankel and multiplication operators on the Dirichlet type spaces are given, and the boundedness, compactness and Schatten ideal properties of these operators are studied.

关 键 词：DIRICHLET型空间 HANKEL算子 小Hankel算子 乘法算子 

分 类 号：O174[理学—数学]